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Finding the Fourth Proportional to 6,687.70, 10,031.55 and 4,209.10

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Solution

The fourth proportional to 6,687.70, 10,031.55 and 4,209.10 is: 6,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.70 : 10,031.55 = 4,209.10 : x
  2. Step 2: Convert to fraction form
    6,687.70/10,031.55 = 4,209.10/x
  3. Step 3: Cross multiply
    6,687.70x = 10,031.55 × 4,209.10
  4. Step 4: Simplify right side
    6,687.70x = 42,223,797.11
  5. Step 5: Solve for x
    x = 42,223,797.11/6,687.70
  6. Step 6: Final answer
    x = 6,313.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.